A dynamically consistent method to solve nonlinear multidimensional advection-reaction equations with fractional diffusion
DOI10.1016/j.jcp.2018.03.047zbMath1406.65076OpenAlexW2795898983WikidataQ130019506 ScholiaQ130019506MaRDI QIDQ1721838
Publication date: 13 February 2019
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2018.03.047
convergence analysisstability analysisimplicit finite difference schemefractional centered differencesadvection-diffusion-reaction partial differential equationsmulticonsistent numerical methodRiesz space-fractional equation
Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Fractional partial differential equations (35R11)
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Cites Work
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- Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation
- A new difference scheme for the time fractional diffusion equation
- An energy conservative difference scheme for the nonlinear fractional Schrödinger equations
- Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
- A modified Bhattacharya exponential method to approximate positive and bounded solutions of the Burgers-Fisher equation
- On a class of non-linear delay distributed order fractional diffusion equations
- A bounded linear integrator for some diffusive nonlinear time-dependent partial differential equations
- A convergent and dynamically consistent finite-difference method to approximate the positive and bounded solutions of the classical Burgers-Fisher equation
- A fractional porous medium equation
- The numerical solution of a generalized Burgers-Huxley equation through a conditionally bounded and symmetry-preserving method
- A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations
- Riesz potential operators and inverses via fractional centred derivatives
- A structure-preserving method for a class of nonlinear dissipative wave equations with Riesz space-fractional derivatives
- Sufficient conditions for the preservation of the boundedness in a numerical method for a physical model with transport memory and nonlinear damping
- Finite difference schemes for \(\frac{\partial u}{\partial t}=(\frac{\partial}{\partial x})^\alpha\frac{\delta G}{\delta u}\) that inherit energy conservation or dissipation property
- Numerical study of the process of nonlinear supratransmission in Riesz space-fractional sine-Gordon equations
- Persistence of nonlinear hysteresis in fractional models of Josephson transmission lines
- An implicit numerical method for the two-dimensional fractional percolation equation
- Existence and uniqueness of positive and bounded solutions of a discrete population model with fractional dynamics
- Fractional reproduction-dispersal equations and heavy tail dispersal kernels
- Quantitative local and global a priori estimates for fractional nonlinear diffusion equations
- A finite-difference scheme to approximate non-negative and bounded solutions of a FitzHugh–Nagumo equation
- On the convergence of a finite-difference discretization à la Mickens of the generalized Burgers–Huxley equation
- Two characterizations of inverse-positive matrices: the Hawkins-Simon condition and the Le Chatelier-Braun principle
- Numerical solutions of the Burgers–Huxley equation by the IDQ method
- Finite-difference schemes for nonlinear wave equation that inherit energy conservation property
